9972507161 has 2 divisors, whose sum is σ = 9972507162. Its totient is φ = 9972507160.

The previous prime is 9972507157. The next prime is 9972507169. The reversal of 9972507161 is 1617052799.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7337635600 + 2634871561 = 85660^2 + 51331^2 .

It is an emirp because it is prime and its reverse (1617052799) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9972507161 - 2² = 9972507157 is a prime.

It is not a weakly prime, because it can be changed into another prime (9972507169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4986253580 + 4986253581.

It is an arithmetic number, because the mean of its divisors is an integer number (4986253581).

Almost surely, 2^9972507161 is an apocalyptic number.

It is an amenable number.

9972507161 is a deficient number, since it is larger than the sum of its proper divisors (1).

9972507161 is an equidigital number, since it uses as much as digits as its factorization.

9972507161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 238140, while the sum is 47.

The square root of 9972507161 is about 99862.4411928729. The cubic root of 9972507161 is about 2152.4584936800.

The spelling of 9972507161 in words is "nine billion, nine hundred seventy-two million, five hundred seven thousand, one hundred sixty-one".